2.1 Find roots (zeroes) of : F(x) = x3+5x2-18 Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -18.
The factor(s) are:
of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 ,3 ,6 ,9 ,18
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that x3+5x2-18 can be divided with x+3
Polynomial Long Division :
2.2 Polynomial Long Division Dividing : x3+5x2-18 ("Dividend") By : x+3 ("Divisor")
